Definition:Positive Definite
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This article is complete as far as it goes, but it could do with expansion, in particular:
Several more instances of this in the various contexts, in particular for hermitian matrices. Research to be done.
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Positive Definite may refer to:
- Abstract Algebra:
- Positive Definite Function on Ring: $\forall x \in R: \begin {cases} \map f x = 0 & : x = 0_R \\ \map f x > 0 & : x \ne 0_R \end {cases}$
- Matrix Theory:
- Positive Definite Matrix: a symmetric matrix whose eigenvalues are all strictly positive.
Several more instances of this in the various contexts, in particular for hermitian matrices. Research to be done.
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